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Simplifying 4p + 7(1 + 4p) = 39 4p + (1 * 7 + 4p * 7) = 39 4p + (7 + 28p) = 39 Reorder the terms: 7 + 4p + 28p = 39 Combine like terms: 4p + 28p = 32p 7 + 32p = 39 Solving 7 + 32p = 39 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 32p = 39 + -7 Combine like terms: 7 + -7 = 0 0 + 32p = 39 + -7 32p = 39 + -7 Combine like terms: 39 + -7 = 32 32p = 32 Divide each side by '32'. p = 1 Simplifying p = 1
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